Three students are working independently on a Mathematics problem. Their respective probabilities of solving the problem are 0.6, 0.7 and 0.8. What is the probability that at least one of them solves the problem?
-
A.
0.024 -
B.
0.336 -
C.
0.664 -
D.
0.976
Correct Answer: Option D
Explanation
(P(text{at least one solves the problem}) = 1 – P(text{none solving the problem}))
= 1 – (0.4)(0.3)(0.2)
= 1 – 0.024
= 0.976